31980768 has 48 divisors (see below), whose sum is σ = 84623616. Its totient is φ = 10574720.

The previous prime is 31980749. The next prime is 31980853. The reversal of 31980768 is 86708913.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11305 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (1762992).

Almost surely, 2^31980768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42311808).

31980768 is an abundant number, since it is smaller than the sum of its proper divisors (52642848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31980768 is a wasteful number, since it uses less digits than its factorization.

31980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 31980768 is about 5655.1541093060. The cubic root of 31980768 is about 317.4165957790.

The spelling of 31980768 in words is "thirty-one million, nine hundred eighty thousand, seven hundred sixty-eight".